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Finding the Fourth Proportional to 415,067.10, 622,600.65 and 412,442.70

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Solution

The fourth proportional to 415,067.10, 622,600.65 and 412,442.70 is: 618,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.10 : 622,600.65 = 412,442.70 : x
  2. Step 2: Convert to fraction form
    415,067.10/622,600.65 = 412,442.70/x
  3. Step 3: Cross multiply
    415,067.10x = 622,600.65 × 412,442.70
  4. Step 4: Simplify right side
    415,067.10x = 256,787,093,107.76
  5. Step 5: Solve for x
    x = 256,787,093,107.76/415,067.10
  6. Step 6: Final answer
    x = 618,664.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.